Prime p₀= 2123347933622369147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 46 2 40 2 76 2 10 2 (?)
a_n: 0 2 12 14 24 26 72 74 114 116 192 194 204 206
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 206
Found by: Landjunge
db: batch=80, k=14, 10 10 46 40 76 10

SPT(16)	2123347161075009739	0 28 30 34 42 60 102 112 150 160 202 220 228 232 234 262	-772547359408
SPT(16)	2123347254316589131	0 6 10 12 46 52 90 132 166 208 246 252 286 288 292 298	-679305780016
TPT(14)	2123347318032323219	0 2 72 74 102 104 210 212 222 224 270 272 348 350	-615590045928
STPT(10)	2123347470590771609	0 2 18 20 30 32 42 44 60 62	-463031597538
STPT(10)	2123347617599420879	0 2 18 20 30 32 42 44 60 62	-316022948268
SPT(16)	2123347851865106099	0 60 84 150 164 198 228 258 434 464 494 528 542 608 632 692	-81757263048
SPT(16)	2123347975634471093	0 6 104 144 156 158 210 228 296 314 366 368 380 420 518 524	42012101946
SPT(16)	2123348050060817341	0 40 90 102 112 132 156 238 240 322 346 366 376 388 438 478	116438448194
SPT(16)	2123348074042029049	0 4 28 54 90 108 130 210 262 342 364 382 418 444 468 472	140419659902
TPT(14)	2123348217153059639	0 2 42 44 78 80 138 140 210 212 222 224 252 254	283530690492
STPT(10)	2123349441420310919	0 2 12 14 30 32 48 50 60 62	1507797941772